Use common install functionality

Common module uses the qt-cmake-private-install to install.
This ensures all configurations are installed.

Change-Id: I4be97685c25392838dbc7ab7c3526f55987c08e6
Reviewed-by: Iikka Eklund <iikka.eklund@qt.io>
(cherry picked from commit 872bf376a72b99970b373cb969a98bab14927329)
Reviewed-by: Qt Cherry-pick Bot <cherrypick_bot@qt-project.org>

conanfile.py

@@ -528,8 +528,7 @@ class QtBase(ConanFile):
         self.python_requires["qt-conan-common"].module.build_env_wrap(self, _build_qtbase)
 
     def package(self):
-        cmd = ["cmake", "--install", "."]
-        self.run(" ".join(cmd))
+        self.python_requires["qt-conan-common"].module.call_install(self)
 
     def package_info(self):
         self.python_requires["qt-conan-common"].module.package_info(self)